Showing papers in "Applied Mathematics Letters in 1996"

TL;DR: In this paper, it was shown that the fundamental solutions of the basic Cauchy and signalling problems can be expressed in terms of an auxiliary function M(z;β), where z = |x| t β is the similarity variable.

TL;DR: In this article, a formula for the Szeged index of Cartesian product graphs is obtained and some other composite graphs are considered, and for all connected graphs, Sz is greater than or equal to the sum of distances between all vertices.

TL;DR: In this paper, the Galerkin method was used to identify three variants of upwinding, mass lumping and selective reduced integration in finite element spaces enriched with residual-free bubbles.

TL;DR: In this paper, a new class of set-valued nonlinear generalized variational inclusion with noncompact valued mappings was introduced and a new iterative algorithm was constructed. But the convergence of this algorithm was not proved.

TL;DR: In this paper, the authors extend a fixed-point theorem of Reinermann for the sum of two operators and use it to establish new existence results for differential equations in Banach spaces.

TL;DR: In this article, a generalization of the notions of convexity of vector-valued maps is introduced, which is called set-valued set-convexity (SVSC).

TL;DR: In this paper, a generalized vector variational inequality (GVVI) with H-convexity assumption is considered and the existence theorem for solutions of GVI is established, which extends Chen [1, Theorem 3.1] to the set-valued case.

TL;DR: In this article, the authors used heuristic arguments to derive a relationship between initial data and the travelling wave speed to which this initial data evolves, and then used singular perturbation theory to derive an asymptotic approximation to the wave.

TL;DR: In this paper, a system of equations which describe the dynamics of a thin two-dimensional free film is analyzed in the vicinity of a rupture, which contain the effects of surface tension and van der Waals forces.

TL;DR: In this article, the mathematical analysis of a new class of kinetic type models applicable to population dynamics is presented, where the evolution equations with multiple interactions and qualitative analysis of the solutions to the Cauchy problem are dealt with.

TL;DR: In this article, it was shown that for certain cubic Kolmogorov systems, four and no more than four limit cycles can bifurcate from a critical point in the first quadrant.

TL;DR: In this article, a refined tail-estimation procedure for measuring the index of stability of stable Paretian or α-stable distributions is proposed, which is more suitable for αstable laws than the widely used estimator proposed in [1].

TL;DR: In this paper, an algorithm for evaluating zero-order Hankel tranforms using ideas first put forward by Filon in the context of finite-range Fourier integrals is presented, where only h(p ) is approximated by a quadratic over the basic subinterval instead of the entire integrand h (p ) J 0 ( rp ) p being approximated.

TL;DR: Based on differential algebra techniques, an exponential observer was proposed for the state estimation of a class of nonlinear systems in this paper, and simulations illustrating the performance of the proposed observer were included.

TL;DR: In this paper, the authors proposed a new structure for the 38-atoms cluster, possessing remarkable characteristics: (i) its potential energy is below the minimum reported in the literature; (ii) as it can be embedded in a face-centered cubic lattice, it does not present five-fold symmetries; and (iii) its core is composed by six atoms at the vertices of an octahedron, decorated by 32 additional atoms to exhibit the shape of a tetrakaidecahedron, one of the beautiful Archimedean polyhedra

TL;DR: In this article, the authors derive several existence results for the vector variational inequality problem, where generalized monotonicity is assumed, and the work is a continuation of the work in [1] and [2].

TL;DR: In this article, mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in Rd, d ≤ 3 Existence and uniqueness of the approximation are proved.

TL;DR: It is proved that the class of reversible synchronous Boltzmann machines is universal for the representation of arbitrary functions defined on finite sets.

TL;DR: In this article, it was shown that given a collection of aligned 2-state sequences, finding the largest subset of sequences compatible with some tree is NP-hard, and given six trees, leaf-labelled by S, find the largest subsets S of S so that the six subtrees induced by S are compatible.

TL;DR: In this article, a homeomorphism from the unit sphere to itself is constructed such that its harmonic extension is not one to one, and the relevance to the grid-folding problem is discussed.

TL;DR: In this paper, the second-order half-linear differential equation [r(t)|ξ′(t), α−1 ξ′ (t)| α− 1 ξ(t)]′ + p(t|ξ|)|u(ξ)| n−2 u(ǫ) = 0, where α > 0 is a constant and ∫ t ∞ p(s) exists for t ∈ [t0, ∞).

TL;DR: In this article, the decomposition method is applied to the initial/boundary value problem for the nonlinear Klein-Gordon equation which appears in nonlinear optics, plasma physics, and fluid mechanics.

TL;DR: In this article, the authors consider the solvability of generalized variational inequalities and associated nonlinear equations involving multivalued relaxed Lipschitz operators, and consider the problem of solving it using iterative algorithms.

TL;DR: In this article, a sufficient condition under which the predator-prey system has no limit cycles for n = 3 was presented, based on a result of Lienard dynamics.

TL;DR: In this paper, the existence of a weak minimum for constrained vector optimization problem by making use of vector variational-like inequality and preinvex functions is proved, which is the same as our weak minimum.

TL;DR: Finding and analysis of hidden periodicities are formulated as a problem of period and probabilistic characteristics of periodically correlated random processes estimation.

TL;DR: In this paper, a version of the Fermat Principle was applied to Lorentzian manifolds endowed with a time function, which was used to obtain results concerning the existence and multiplicity of light rays.

TL;DR: In this paper, a local homeomorphism of the real plane is characterized in terms of properness along fibers of, and simplicity of, component maps, and two known counterexamples to univalence conjectures are used to illustrate the results.

TL;DR: Adomian has applied the decomposition method to the Navier-Stokes equations in the Cartesian coordinate system as discussed by the authors, and the present analysis gives the application of decomposition methods to the NSS equations.

TL;DR: In this paper, the authors provide representations for geometric-stable probability densities in terms of fast converging integrals, which is the same as the representation used in this paper.